Abstract:Using a variational approach, the interaction of an extrinsic electron with the surface modes of a semi-infinite medium is studied under the effect of an external magnetic field. The approach is to be valid for all values of the electron-surface-phonon coupling. In addition to the ground state energy, the number of phonons around the electron, and the spatial localization of the electron perpendicular and parallel to the surface are studied. It is observed that the magnetic field enhances the effective electro… Show more
“…Recent advances in microfabrication techniques have made the fabrication of low-dimensional structures possible and have therefore, tend to a great of work on the effect of the electron-phonon interaction in reduced dimensionality [1][2][3][4][5][6].…”
The problem of a polaron in a quantum slab-like confinement is retrieved using a modified LLP approach. The proposed modification is intended to interpolate between the strong and weak-coupling limits of the problem. It is found that the binding energy increases with decreasing thickness of the slab as well as with increasing coupling constant. The polaronic effect becomes more important with decreasing thickness of the slab.
“…Recent advances in microfabrication techniques have made the fabrication of low-dimensional structures possible and have therefore, tend to a great of work on the effect of the electron-phonon interaction in reduced dimensionality [1][2][3][4][5][6].…”
The problem of a polaron in a quantum slab-like confinement is retrieved using a modified LLP approach. The proposed modification is intended to interpolate between the strong and weak-coupling limits of the problem. It is found that the binding energy increases with decreasing thickness of the slab as well as with increasing coupling constant. The polaronic effect becomes more important with decreasing thickness of the slab.
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